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Finding the Fourth Proportional to 370,139.40, 510,822.54 and 209,033.64

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Solution

The fourth proportional to 370,139.40, 510,822.54 and 209,033.64 is: 288,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,139.40 : 510,822.54 = 209,033.64 : x
  2. Step 2: Convert to fraction form
    370,139.40/510,822.54 = 209,033.64/x
  3. Step 3: Cross multiply
    370,139.40x = 510,822.54 × 209,033.64
  4. Step 4: Simplify right side
    370,139.40x = 106,779,094,930.25
  5. Step 5: Solve for x
    x = 106,779,094,930.25/370,139.40
  6. Step 6: Final answer
    x = 288,483.46

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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.