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Finding the Fourth Proportional to 566,694, 782,019.36 and 312,038.64

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Solution

The fourth proportional to 566,694, 782,019.36 and 312,038.64 is: 430,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,694 : 782,019.36 = 312,038.64 : x
  2. Step 2: Convert to fraction form
    566,694/782,019.36 = 312,038.64/x
  3. Step 3: Cross multiply
    566,694x = 782,019.36 × 312,038.64
  4. Step 4: Simplify right side
    566,694x = 244,020,257,548.07
  5. Step 5: Solve for x
    x = 244,020,257,548.07/566,694
  6. Step 6: Final answer
    x = 430,603.21

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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.