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Finding the Fourth Proportional to 564,473.72, 778,962.61 and 319,453.94

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Solution

The fourth proportional to 564,473.72, 778,962.61 and 319,453.94 is: 440,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,473.72 : 778,962.61 = 319,453.94 : x
  2. Step 2: Convert to fraction form
    564,473.72/778,962.61 = 319,453.94/x
  3. Step 3: Cross multiply
    564,473.72x = 778,962.61 × 319,453.94
  4. Step 4: Simplify right side
    564,473.72x = 248,842,674,877.18
  5. Step 5: Solve for x
    x = 248,842,674,877.18/564,473.72
  6. Step 6: Final answer
    x = 440,840.14

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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.