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Finding the Fourth Proportional to 719,496, 991,981.44 and 589,957.20

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Solution

The fourth proportional to 719,496, 991,981.44 and 589,957.20 is: 813,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,496 : 991,981.44 = 589,957.20 : x
  2. Step 2: Convert to fraction form
    719,496/991,981.44 = 589,957.20/x
  3. Step 3: Cross multiply
    719,496x = 991,981.44 × 589,957.20
  4. Step 4: Simplify right side
    719,496x = 585,226,592,794.37
  5. Step 5: Solve for x
    x = 585,226,592,794.37/719,496
  6. Step 6: Final answer
    x = 813,384.08

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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.