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Finding the Fourth Proportional to 286,506.72, 429,760.08 and 99,518.40

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Solution

The fourth proportional to 286,506.72, 429,760.08 and 99,518.40 is: 149,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,506.72 : 429,760.08 = 99,518.40 : x
  2. Step 2: Convert to fraction form
    286,506.72/429,760.08 = 99,518.40/x
  3. Step 3: Cross multiply
    286,506.72x = 429,760.08 × 99,518.40
  4. Step 4: Simplify right side
    286,506.72x = 42,769,035,545.47
  5. Step 5: Solve for x
    x = 42,769,035,545.47/286,506.72
  6. Step 6: Final answer
    x = 149,277.60

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1.5x scale

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.