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Finding the Fourth Proportional to 288,702.34, 432,422.44 and 146,303.19

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Solution

The fourth proportional to 288,702.34, 432,422.44 and 146,303.19 is: 219,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,702.34 : 432,422.44 = 146,303.19 : x
  2. Step 2: Convert to fraction form
    288,702.34/432,422.44 = 146,303.19/x
  3. Step 3: Cross multiply
    288,702.34x = 432,422.44 × 146,303.19
  4. Step 4: Simplify right side
    288,702.34x = 63,264,782,033.83
  5. Step 5: Solve for x
    x = 63,264,782,033.83/288,702.34
  6. Step 6: Final answer
    x = 219,134.98

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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.