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Finding the Fourth Proportional to 477,475.72, 714,831.18 and 359,643.40

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Solution

The fourth proportional to 477,475.72, 714,831.18 and 359,643.40 is: 538,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,475.72 : 714,831.18 = 359,643.40 : x
  2. Step 2: Convert to fraction form
    477,475.72/714,831.18 = 359,643.40/x
  3. Step 3: Cross multiply
    477,475.72x = 714,831.18 × 359,643.40
  4. Step 4: Simplify right side
    477,475.72x = 257,084,316,001.21
  5. Step 5: Solve for x
    x = 257,084,316,001.21/477,475.72
  6. Step 6: Final answer
    x = 538,423.85

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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.