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Finding the Fourth Proportional to 565,586.16, 780,509.40 and 310,941.68

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Solution

The fourth proportional to 565,586.16, 780,509.40 and 310,941.68 is: 429,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,586.16 : 780,509.40 = 310,941.68 : x
  2. Step 2: Convert to fraction form
    565,586.16/780,509.40 = 310,941.68/x
  3. Step 3: Cross multiply
    565,586.16x = 780,509.40 × 310,941.68
  4. Step 4: Simplify right side
    565,586.16x = 242,692,904,091.79
  5. Step 5: Solve for x
    x = 242,692,904,091.79/565,586.16
  6. Step 6: Final answer
    x = 429,099.79

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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.