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Finding the Fourth Proportional to 286,420.77, 429,693.12 and 108,931.14

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Solution

The fourth proportional to 286,420.77, 429,693.12 and 108,931.14 is: 163,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,420.77 : 429,693.12 = 108,931.14 : x
  2. Step 2: Convert to fraction form
    286,420.77/429,693.12 = 108,931.14/x
  3. Step 3: Cross multiply
    286,420.77x = 429,693.12 × 108,931.14
  4. Step 4: Simplify right side
    286,420.77x = 46,806,961,411.76
  5. Step 5: Solve for x
    x = 46,806,961,411.76/286,420.77
  6. Step 6: Final answer
    x = 163,420.28

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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.