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Finding the Fourth Proportional to 782,971, 1,080,501.06 and 425,275

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Solution

The fourth proportional to 782,971, 1,080,501.06 and 425,275 is: 586,880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,971 : 1,080,501.06 = 425,275 : x
  2. Step 2: Convert to fraction form
    782,971/1,080,501.06 = 425,275/x
  3. Step 3: Cross multiply
    782,971x = 1,080,501.06 × 425,275
  4. Step 4: Simplify right side
    782,971x = 459,510,088,291.50
  5. Step 5: Solve for x
    x = 459,510,088,291.50/782,971
  6. Step 6: Final answer
    x = 586,880.09

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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.