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Finding the Fourth Proportional to 564,383.64, 778,868.22 and 309,748.68

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Solution

The fourth proportional to 564,383.64, 778,868.22 and 309,748.68 is: 427,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,383.64 : 778,868.22 = 309,748.68 : x
  2. Step 2: Convert to fraction form
    564,383.64/778,868.22 = 309,748.68/x
  3. Step 3: Cross multiply
    564,383.64x = 778,868.22 × 309,748.68
  4. Step 4: Simplify right side
    564,383.64x = 241,253,403,038.95
  5. Step 5: Solve for x
    x = 241,253,403,038.95/564,383.64
  6. Step 6: Final answer
    x = 427,463.49

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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.