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Finding the Fourth Proportional to 369,609.76, 510,078.84 and 208,461.40

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Solution

The fourth proportional to 369,609.76, 510,078.84 and 208,461.40 is: 287,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,609.76 : 510,078.84 = 208,461.40 : x
  2. Step 2: Convert to fraction form
    369,609.76/510,078.84 = 208,461.40/x
  3. Step 3: Cross multiply
    369,609.76x = 510,078.84 × 208,461.40
  4. Step 4: Simplify right side
    369,609.76x = 106,331,749,096.78
  5. Step 5: Solve for x
    x = 106,331,749,096.78/369,609.76
  6. Step 6: Final answer
    x = 287,686.53

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1.5x scale

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.