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Finding the Fourth Proportional to 706,432.16, 974,846.72 and 400,529.12

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Solution

The fourth proportional to 706,432.16, 974,846.72 and 400,529.12 is: 552,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,432.16 : 974,846.72 = 400,529.12 : x
  2. Step 2: Convert to fraction form
    706,432.16/974,846.72 = 400,529.12/x
  3. Step 3: Cross multiply
    706,432.16x = 974,846.72 × 400,529.12
  4. Step 4: Simplify right side
    706,432.16x = 390,454,492,019.61
  5. Step 5: Solve for x
    x = 390,454,492,019.61/706,432.16
  6. Step 6: Final answer
    x = 552,713.36

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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.