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Finding the Fourth Proportional to 805,412.40, 1,208,464.20 and 411,428.40

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Solution

The fourth proportional to 805,412.40, 1,208,464.20 and 411,428.40 is: 617,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,412.40 : 1,208,464.20 = 411,428.40 : x
  2. Step 2: Convert to fraction form
    805,412.40/1,208,464.20 = 411,428.40/x
  3. Step 3: Cross multiply
    805,412.40x = 1,208,464.20 × 411,428.40
  4. Step 4: Simplify right side
    805,412.40x = 497,196,492,263.28
  5. Step 5: Solve for x
    x = 497,196,492,263.28/805,412.40
  6. Step 6: Final answer
    x = 617,319.14

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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.