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Finding the Fourth Proportional to 421,564.23, 581,779.94 and 249,580.89

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Solution

The fourth proportional to 421,564.23, 581,779.94 and 249,580.89 is: 344,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,564.23 : 581,779.94 = 249,580.89 : x
  2. Step 2: Convert to fraction form
    421,564.23/581,779.94 = 249,580.89/x
  3. Step 3: Cross multiply
    421,564.23x = 581,779.94 × 249,580.89
  4. Step 4: Simplify right side
    421,564.23x = 145,201,153,961.44
  5. Step 5: Solve for x
    x = 145,201,153,961.44/421,564.23
  6. Step 6: Final answer
    x = 344,434.24

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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.