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Finding the Fourth Proportional to 779,354, 1,075,508.52 and 421,658

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Solution

The fourth proportional to 779,354, 1,075,508.52 and 421,658 is: 581,888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,354 : 1,075,508.52 = 421,658 : x
  2. Step 2: Convert to fraction form
    779,354/1,075,508.52 = 421,658/x
  3. Step 3: Cross multiply
    779,354x = 1,075,508.52 × 421,658
  4. Step 4: Simplify right side
    779,354x = 453,496,771,526.16
  5. Step 5: Solve for x
    x = 453,496,771,526.16/779,354
  6. Step 6: Final answer
    x = 581,888.04

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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.