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Finding the Fourth Proportional to 520,128, 780,417.36 and 183,409.16

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Solution

The fourth proportional to 520,128, 780,417.36 and 183,409.16 is: 275,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,128 : 780,417.36 = 183,409.16 : x
  2. Step 2: Convert to fraction form
    520,128/780,417.36 = 183,409.16/x
  3. Step 3: Cross multiply
    520,128x = 780,417.36 × 183,409.16
  4. Step 4: Simplify right side
    520,128x = 143,135,688,544.93
  5. Step 5: Solve for x
    x = 143,135,688,544.93/520,128
  6. Step 6: Final answer
    x = 275,193.20

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1.5x scale

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.