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Finding the Fourth Proportional to 508,448.84, 701,988.08 and 315,061.76

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Solution

The fourth proportional to 508,448.84, 701,988.08 and 315,061.76 is: 434,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,448.84 : 701,988.08 = 315,061.76 : x
  2. Step 2: Convert to fraction form
    508,448.84/701,988.08 = 315,061.76/x
  3. Step 3: Cross multiply
    508,448.84x = 701,988.08 × 315,061.76
  4. Step 4: Simplify right side
    508,448.84x = 221,169,594,898.57
  5. Step 5: Solve for x
    x = 221,169,594,898.57/508,448.84
  6. Step 6: Final answer
    x = 434,988.89

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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.