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Finding the Fourth Proportional to 909,792, 1,364,688 and 318,816

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Solution

The fourth proportional to 909,792, 1,364,688 and 318,816 is: 478,224

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,792 : 1,364,688 = 318,816 : x
  2. Step 2: Convert to fraction form
    909,792/1,364,688 = 318,816/x
  3. Step 3: Cross multiply
    909,792x = 1,364,688 × 318,816
  4. Step 4: Simplify right side
    909,792x = 435,084,369,408
  5. Step 5: Solve for x
    x = 435,084,369,408/909,792
  6. Step 6: Final answer
    x = 478,224

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.