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Finding the Fourth Proportional to 539,877, 745,030.32 and 313,537.08

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Solution

The fourth proportional to 539,877, 745,030.32 and 313,537.08 is: 432,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,877 : 745,030.32 = 313,537.08 : x
  2. Step 2: Convert to fraction form
    539,877/745,030.32 = 313,537.08/x
  3. Step 3: Cross multiply
    539,877x = 745,030.32 × 313,537.08
  4. Step 4: Simplify right side
    539,877x = 233,594,631,044.27
  5. Step 5: Solve for x
    x = 233,594,631,044.27/539,877
  6. Step 6: Final answer
    x = 432,681.21

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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.