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Finding the Fourth Proportional to 522,336, 720,823.68 and 310,368

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Solution

The fourth proportional to 522,336, 720,823.68 and 310,368 is: 428,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,336 : 720,823.68 = 310,368 : x
  2. Step 2: Convert to fraction form
    522,336/720,823.68 = 310,368/x
  3. Step 3: Cross multiply
    522,336x = 720,823.68 × 310,368
  4. Step 4: Simplify right side
    522,336x = 223,720,603,914.24
  5. Step 5: Solve for x
    x = 223,720,603,914.24/522,336
  6. Step 6: Final answer
    x = 428,307.84

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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.