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Finding the Fourth Proportional to 565,845.64, 780,730.30 and 359,038.63

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Solution

The fourth proportional to 565,845.64, 780,730.30 and 359,038.63 is: 495,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,845.64 : 780,730.30 = 359,038.63 : x
  2. Step 2: Convert to fraction form
    565,845.64/780,730.30 = 359,038.63/x
  3. Step 3: Cross multiply
    565,845.64x = 780,730.30 × 359,038.63
  4. Step 4: Simplify right side
    565,845.64x = 280,312,332,325.00
  5. Step 5: Solve for x
    x = 280,312,332,325.00/565,845.64
  6. Step 6: Final answer
    x = 495,386.58

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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.