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Finding the Fourth Proportional to 357,393.60, 535,312.80 and 216,907.20

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Solution

The fourth proportional to 357,393.60, 535,312.80 and 216,907.20 is: 324,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,393.60 : 535,312.80 = 216,907.20 : x
  2. Step 2: Convert to fraction form
    357,393.60/535,312.80 = 216,907.20/x
  3. Step 3: Cross multiply
    357,393.60x = 535,312.80 × 216,907.20
  4. Step 4: Simplify right side
    357,393.60x = 116,113,200,572.16
  5. Step 5: Solve for x
    x = 116,113,200,572.16/357,393.60
  6. Step 6: Final answer
    x = 324,888.86

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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.