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Finding the Fourth Proportional to 288,095.60, 432,143.40 and 155,235.35

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Solution

The fourth proportional to 288,095.60, 432,143.40 and 155,235.35 is: 232,853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,095.60 : 432,143.40 = 155,235.35 : x
  2. Step 2: Convert to fraction form
    288,095.60/432,143.40 = 155,235.35/x
  3. Step 3: Cross multiply
    288,095.60x = 432,143.40 × 155,235.35
  4. Step 4: Simplify right side
    288,095.60x = 67,083,931,949.19
  5. Step 5: Solve for x
    x = 67,083,931,949.19/288,095.60
  6. Step 6: Final answer
    x = 232,853.03

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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.