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Finding the Fourth Proportional to 565,416.44, 780,280.73 and 307,293.40

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Solution

The fourth proportional to 565,416.44, 780,280.73 and 307,293.40 is: 424,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,416.44 : 780,280.73 = 307,293.40 : x
  2. Step 2: Convert to fraction form
    565,416.44/780,280.73 = 307,293.40/x
  3. Step 3: Cross multiply
    565,416.44x = 780,280.73 × 307,293.40
  4. Step 4: Simplify right side
    565,416.44x = 239,775,118,476.18
  5. Step 5: Solve for x
    x = 239,775,118,476.18/565,416.44
  6. Step 6: Final answer
    x = 424,068.18

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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.