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Finding the Fourth Proportional to 758,405, 1,046,598.90 and 418,895.12

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Solution

The fourth proportional to 758,405, 1,046,598.90 and 418,895.12 is: 578,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,405 : 1,046,598.90 = 418,895.12 : x
  2. Step 2: Convert to fraction form
    758,405/1,046,598.90 = 418,895.12/x
  3. Step 3: Cross multiply
    758,405x = 1,046,598.90 × 418,895.12
  4. Step 4: Simplify right side
    758,405x = 438,415,171,807.37
  5. Step 5: Solve for x
    x = 438,415,171,807.37/758,405
  6. Step 6: Final answer
    x = 578,075.27

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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.