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Finding the Fourth Proportional to 370,130.40, 510,810.12 and 209,024.64

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Solution

The fourth proportional to 370,130.40, 510,810.12 and 209,024.64 is: 288,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,130.40 : 510,810.12 = 209,024.64 : x
  2. Step 2: Convert to fraction form
    370,130.40/510,810.12 = 209,024.64/x
  3. Step 3: Cross multiply
    370,130.40x = 510,810.12 × 209,024.64
  4. Step 4: Simplify right side
    370,130.40x = 106,771,901,441.36
  5. Step 5: Solve for x
    x = 106,771,901,441.36/370,130.40
  6. Step 6: Final answer
    x = 288,471.04

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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.