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Finding the Fourth Proportional to 666,509.40, 919,779.30 and 360,585

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Solution

The fourth proportional to 666,509.40, 919,779.30 and 360,585 is: 497,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,509.40 : 919,779.30 = 360,585 : x
  2. Step 2: Convert to fraction form
    666,509.40/919,779.30 = 360,585/x
  3. Step 3: Cross multiply
    666,509.40x = 919,779.30 × 360,585
  4. Step 4: Simplify right side
    666,509.40x = 331,658,618,890.50
  5. Step 5: Solve for x
    x = 331,658,618,890.50/666,509.40
  6. Step 6: Final answer
    x = 497,605.31

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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.