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Finding the Fourth Proportional to 288,343, 432,607.02 and 138,594.16

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Solution

The fourth proportional to 288,343, 432,607.02 and 138,594.16 is: 207,935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,343 : 432,607.02 = 138,594.16 : x
  2. Step 2: Convert to fraction form
    288,343/432,607.02 = 138,594.16/x
  3. Step 3: Cross multiply
    288,343x = 432,607.02 × 138,594.16
  4. Step 4: Simplify right side
    288,343x = 59,956,806,547.00
  5. Step 5: Solve for x
    x = 59,956,806,547.00/288,343
  6. Step 6: Final answer
    x = 207,935.71

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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.