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Finding the Fourth Proportional to 657,709.40, 986,564.10 and 429,386.60

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Solution

The fourth proportional to 657,709.40, 986,564.10 and 429,386.60 is: 644,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,709.40 : 986,564.10 = 429,386.60 : x
  2. Step 2: Convert to fraction form
    657,709.40/986,564.10 = 429,386.60/x
  3. Step 3: Cross multiply
    657,709.40x = 986,564.10 × 429,386.60
  4. Step 4: Simplify right side
    657,709.40x = 423,617,404,581.06
  5. Step 5: Solve for x
    x = 423,617,404,581.06/657,709.40
  6. Step 6: Final answer
    x = 644,079.90

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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.