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Finding the Fourth Proportional to 488,967.40, 733,779.15 and 289,075.60

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Solution

The fourth proportional to 488,967.40, 733,779.15 and 289,075.60 is: 433,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,967.40 : 733,779.15 = 289,075.60 : x
  2. Step 2: Convert to fraction form
    488,967.40/733,779.15 = 289,075.60/x
  3. Step 3: Cross multiply
    488,967.40x = 733,779.15 × 289,075.60
  4. Step 4: Simplify right side
    488,967.40x = 212,117,648,053.74
  5. Step 5: Solve for x
    x = 212,117,648,053.74/488,967.40
  6. Step 6: Final answer
    x = 433,807.34

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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.