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Finding the Fourth Proportional to 280,073.92, 386,505.12 and 152,749.12

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Solution

The fourth proportional to 280,073.92, 386,505.12 and 152,749.12 is: 210,795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,073.92 : 386,505.12 = 152,749.12 : x
  2. Step 2: Convert to fraction form
    280,073.92/386,505.12 = 152,749.12/x
  3. Step 3: Cross multiply
    280,073.92x = 386,505.12 × 152,749.12
  4. Step 4: Simplify right side
    280,073.92x = 59,038,316,955.49
  5. Step 5: Solve for x
    x = 59,038,316,955.49/280,073.92
  6. Step 6: Final answer
    x = 210,795.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.