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Finding the Fourth Proportional to 287,806.15, 431,799.14 and 98,271.01

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Solution

The fourth proportional to 287,806.15, 431,799.14 and 98,271.01 is: 147,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,806.15 : 431,799.14 = 98,271.01 : x
  2. Step 2: Convert to fraction form
    287,806.15/431,799.14 = 98,271.01/x
  3. Step 3: Cross multiply
    287,806.15x = 431,799.14 × 98,271.01
  4. Step 4: Simplify right side
    287,806.15x = 42,433,338,390.36
  5. Step 5: Solve for x
    x = 42,433,338,390.36/287,806.15
  6. Step 6: Final answer
    x = 147,437.22

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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.