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Finding the Fourth Proportional to 806,528, 1,209,044.16 and 357,009.20

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Solution

The fourth proportional to 806,528, 1,209,044.16 and 357,009.20 is: 535,182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,528 : 1,209,044.16 = 357,009.20 : x
  2. Step 2: Convert to fraction form
    806,528/1,209,044.16 = 357,009.20/x
  3. Step 3: Cross multiply
    806,528x = 1,209,044.16 × 357,009.20
  4. Step 4: Simplify right side
    806,528x = 431,639,888,326.27
  5. Step 5: Solve for x
    x = 431,639,888,326.27/806,528
  6. Step 6: Final answer
    x = 535,182.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.