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Finding the Fourth Proportional to 565,211.40, 849,785.40 and 478,606.20

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Solution

The fourth proportional to 565,211.40, 849,785.40 and 478,606.20 is: 719,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,211.40 : 849,785.40 = 478,606.20 : x
  2. Step 2: Convert to fraction form
    565,211.40/849,785.40 = 478,606.20/x
  3. Step 3: Cross multiply
    565,211.40x = 849,785.40 × 478,606.20
  4. Step 4: Simplify right side
    565,211.40x = 406,712,561,109.48
  5. Step 5: Solve for x
    x = 406,712,561,109.48/565,211.40
  6. Step 6: Final answer
    x = 719,576.00

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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.