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Finding the Fourth Proportional to 304,985.60, 457,478.40 and 83,369.60

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Solution

The fourth proportional to 304,985.60, 457,478.40 and 83,369.60 is: 125,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,985.60 : 457,478.40 = 83,369.60 : x
  2. Step 2: Convert to fraction form
    304,985.60/457,478.40 = 83,369.60/x
  3. Step 3: Cross multiply
    304,985.60x = 457,478.40 × 83,369.60
  4. Step 4: Simplify right side
    304,985.60x = 38,139,791,216.64
  5. Step 5: Solve for x
    x = 38,139,791,216.64/304,985.60
  6. Step 6: Final answer
    x = 125,054.40

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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.