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Finding the Fourth Proportional to 477,248.96, 714,917.76 and 287,603.84

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Solution

The fourth proportional to 477,248.96, 714,917.76 and 287,603.84 is: 430,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,248.96 : 714,917.76 = 287,603.84 : x
  2. Step 2: Convert to fraction form
    477,248.96/714,917.76 = 287,603.84/x
  3. Step 3: Cross multiply
    477,248.96x = 714,917.76 × 287,603.84
  4. Step 4: Simplify right side
    477,248.96x = 205,613,093,060.20
  5. Step 5: Solve for x
    x = 205,613,093,060.20/477,248.96
  6. Step 6: Final answer
    x = 430,829.84

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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.