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Finding the Fourth Proportional to 294,775.76, 406,378.64 and 249,271.18

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Solution

The fourth proportional to 294,775.76, 406,378.64 and 249,271.18 is: 343,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,775.76 : 406,378.64 = 249,271.18 : x
  2. Step 2: Convert to fraction form
    294,775.76/406,378.64 = 249,271.18/x
  3. Step 3: Cross multiply
    294,775.76x = 406,378.64 × 249,271.18
  4. Step 4: Simplify right side
    294,775.76x = 101,298,482,726.83
  5. Step 5: Solve for x
    x = 101,298,482,726.83/294,775.76
  6. Step 6: Final answer
    x = 343,645.90

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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.