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Finding the Fourth Proportional to 835,778, 1,153,373.64 and 478,082

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Solution

The fourth proportional to 835,778, 1,153,373.64 and 478,082 is: 659,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,778 : 1,153,373.64 = 478,082 : x
  2. Step 2: Convert to fraction form
    835,778/1,153,373.64 = 478,082/x
  3. Step 3: Cross multiply
    835,778x = 1,153,373.64 × 478,082
  4. Step 4: Simplify right side
    835,778x = 551,407,176,558.48
  5. Step 5: Solve for x
    x = 551,407,176,558.48/835,778
  6. Step 6: Final answer
    x = 659,753.16

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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.