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Finding the Fourth Proportional to 286,446.08, 429,931.68 and 153,476.48

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Solution

The fourth proportional to 286,446.08, 429,931.68 and 153,476.48 is: 230,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,446.08 : 429,931.68 = 153,476.48 : x
  2. Step 2: Convert to fraction form
    286,446.08/429,931.68 = 153,476.48/x
  3. Step 3: Cross multiply
    286,446.08x = 429,931.68 × 153,476.48
  4. Step 4: Simplify right side
    286,446.08x = 65,984,400,886.89
  5. Step 5: Solve for x
    x = 65,984,400,886.89/286,446.08
  6. Step 6: Final answer
    x = 230,355.40

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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.