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Finding the Fourth Proportional to 586,072, 808,779.36 and 317,800

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Solution

The fourth proportional to 586,072, 808,779.36 and 317,800 is: 438,564

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,072 : 808,779.36 = 317,800 : x
  2. Step 2: Convert to fraction form
    586,072/808,779.36 = 317,800/x
  3. Step 3: Cross multiply
    586,072x = 808,779.36 × 317,800
  4. Step 4: Simplify right side
    586,072x = 257,030,080,608
  5. Step 5: Solve for x
    x = 257,030,080,608/586,072
  6. Step 6: Final answer
    x = 438,564

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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.