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Finding the Fourth Proportional to 713,018.61, 1,069,662.78 and 286,587.63

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Solution

The fourth proportional to 713,018.61, 1,069,662.78 and 286,587.63 is: 429,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,018.61 : 1,069,662.78 = 286,587.63 : x
  2. Step 2: Convert to fraction form
    713,018.61/1,069,662.78 = 286,587.63/x
  3. Step 3: Cross multiply
    713,018.61x = 1,069,662.78 × 286,587.63
  4. Step 4: Simplify right side
    713,018.61x = 306,552,121,019.41
  5. Step 5: Solve for x
    x = 306,552,121,019.41/713,018.61
  6. Step 6: Final answer
    x = 429,935.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.