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Finding the Fourth Proportional to 514,877.25, 710,386.65 and 405,642.50

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Solution

The fourth proportional to 514,877.25, 710,386.65 and 405,642.50 is: 559,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,877.25 : 710,386.65 = 405,642.50 : x
  2. Step 2: Convert to fraction form
    514,877.25/710,386.65 = 405,642.50/x
  3. Step 3: Cross multiply
    514,877.25x = 710,386.65 × 405,642.50
  4. Step 4: Simplify right side
    514,877.25x = 288,163,013,120.69
  5. Step 5: Solve for x
    x = 288,163,013,120.69/514,877.25
  6. Step 6: Final answer
    x = 559,673.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.