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Finding the Fourth Proportional to 564,412.71, 778,885.47 and 306,283.16

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Solution

The fourth proportional to 564,412.71, 778,885.47 and 306,283.16 is: 422,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,412.71 : 778,885.47 = 306,283.16 : x
  2. Step 2: Convert to fraction form
    564,412.71/778,885.47 = 306,283.16/x
  3. Step 3: Cross multiply
    564,412.71x = 778,885.47 × 306,283.16
  4. Step 4: Simplify right side
    564,412.71x = 238,559,503,029.69
  5. Step 5: Solve for x
    x = 238,559,503,029.69/564,412.71
  6. Step 6: Final answer
    x = 422,668.55

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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.