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Finding the Fourth Proportional to 716,381.32, 988,496.58 and 414,517

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Solution

The fourth proportional to 716,381.32, 988,496.58 and 414,517 is: 571,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,381.32 : 988,496.58 = 414,517 : x
  2. Step 2: Convert to fraction form
    716,381.32/988,496.58 = 414,517/x
  3. Step 3: Cross multiply
    716,381.32x = 988,496.58 × 414,517
  4. Step 4: Simplify right side
    716,381.32x = 409,748,636,851.86
  5. Step 5: Solve for x
    x = 409,748,636,851.86/716,381.32
  6. Step 6: Final answer
    x = 571,970.02

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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.