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Finding the Fourth Proportional to 564,852.52, 779,501.86 and 310,209

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Solution

The fourth proportional to 564,852.52, 779,501.86 and 310,209 is: 428,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,852.52 : 779,501.86 = 310,209 : x
  2. Step 2: Convert to fraction form
    564,852.52/779,501.86 = 310,209/x
  3. Step 3: Cross multiply
    564,852.52x = 779,501.86 × 310,209
  4. Step 4: Simplify right side
    564,852.52x = 241,808,492,488.74
  5. Step 5: Solve for x
    x = 241,808,492,488.74/564,852.52
  6. Step 6: Final answer
    x = 428,091.38

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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.