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Finding the Fourth Proportional to 418,032.96, 627,856.32 and 358,196.64

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Solution

The fourth proportional to 418,032.96, 627,856.32 and 358,196.64 is: 537,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,032.96 : 627,856.32 = 358,196.64 : x
  2. Step 2: Convert to fraction form
    418,032.96/627,856.32 = 358,196.64/x
  3. Step 3: Cross multiply
    418,032.96x = 627,856.32 × 358,196.64
  4. Step 4: Simplify right side
    418,032.96x = 224,896,024,226.77
  5. Step 5: Solve for x
    x = 224,896,024,226.77/418,032.96
  6. Step 6: Final answer
    x = 537,986.34

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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.