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Finding the Fourth Proportional to 586,588, 809,492.16 and 318,316

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Solution

The fourth proportional to 586,588, 809,492.16 and 318,316 is: 439,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,588 : 809,492.16 = 318,316 : x
  2. Step 2: Convert to fraction form
    586,588/809,492.16 = 318,316/x
  3. Step 3: Cross multiply
    586,588x = 809,492.16 × 318,316
  4. Step 4: Simplify right side
    586,588x = 257,674,306,402.56
  5. Step 5: Solve for x
    x = 257,674,306,402.56/586,588
  6. Step 6: Final answer
    x = 439,276.47

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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.