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Finding the Fourth Proportional to 613,923.14, 921,513.12 and 506,966.31

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Solution

The fourth proportional to 613,923.14, 921,513.12 and 506,966.31 is: 760,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,923.14 : 921,513.12 = 506,966.31 : x
  2. Step 2: Convert to fraction form
    613,923.14/921,513.12 = 506,966.31/x
  3. Step 3: Cross multiply
    613,923.14x = 921,513.12 × 506,966.31
  4. Step 4: Simplify right side
    613,923.14x = 467,176,104,161.86
  5. Step 5: Solve for x
    x = 467,176,104,161.86/613,923.14
  6. Step 6: Final answer
    x = 760,968.39

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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.