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Finding the Fourth Proportional to 287,068.30, 430,429.65 and 147,100.30

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Solution

The fourth proportional to 287,068.30, 430,429.65 and 147,100.30 is: 220,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,068.30 : 430,429.65 = 147,100.30 : x
  2. Step 2: Convert to fraction form
    287,068.30/430,429.65 = 147,100.30/x
  3. Step 3: Cross multiply
    287,068.30x = 430,429.65 × 147,100.30
  4. Step 4: Simplify right side
    287,068.30x = 63,316,330,643.90
  5. Step 5: Solve for x
    x = 63,316,330,643.90/287,068.30
  6. Step 6: Final answer
    x = 220,561.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.