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Finding the Fourth Proportional to 200,429,577.20, 280,984,045.60 and 200,429,577.20

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Solution

The fourth proportional to 200,429,577.20, 280,984,045.60 and 200,429,577.20 is: 280,984,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429,577.20 : 280,984,045.60 = 200,429,577.20 : x
  2. Step 2: Convert to fraction form
    200,429,577.20/280,984,045.60 = 200,429,577.20/x
  3. Step 3: Cross multiply
    200,429,577.20x = 280,984,045.60 × 200,429,577.20
  4. Step 4: Simplify right side
    200,429,577.20x = 56,317,513,459,553,520
  5. Step 5: Solve for x
    x = 56,317,513,459,553,520/200,429,577.20
  6. Step 6: Final answer
    x = 280,984,045.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.