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Finding the Fourth Proportional to 417,126, 576,109.08 and 282,756.72

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Solution

The fourth proportional to 417,126, 576,109.08 and 282,756.72 is: 390,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,126 : 576,109.08 = 282,756.72 : x
  2. Step 2: Convert to fraction form
    417,126/576,109.08 = 282,756.72/x
  3. Step 3: Cross multiply
    417,126x = 576,109.08 × 282,756.72
  4. Step 4: Simplify right side
    417,126x = 162,898,713,823.02
  5. Step 5: Solve for x
    x = 162,898,713,823.02/417,126
  6. Step 6: Final answer
    x = 390,526.40

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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.