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Finding the Fourth Proportional to 495,443.94, 683,595.50 and 291,503.76

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Solution

The fourth proportional to 495,443.94, 683,595.50 and 291,503.76 is: 402,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,443.94 : 683,595.50 = 291,503.76 : x
  2. Step 2: Convert to fraction form
    495,443.94/683,595.50 = 291,503.76/x
  3. Step 3: Cross multiply
    495,443.94x = 683,595.50 × 291,503.76
  4. Step 4: Simplify right side
    495,443.94x = 199,270,658,569.08
  5. Step 5: Solve for x
    x = 199,270,658,569.08/495,443.94
  6. Step 6: Final answer
    x = 402,206.27

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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.